The number 80900
80900 is a composite number with 18 divisors. Its prime factorisation is × × 809. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 809, 1618, 3236, 4045, 8090, 16180, 20225 … 80900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80900 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80900 is composite. Its prime factorisation is
- 3
The divisors add up to 175770; without 80900 itself that is 94870, so 80900 is abundant (94870 is more than 80900). Euler's totient φ(80900) = 32320 numbers up to 80900 share no factor with it.
- 4
The digits of 80900 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80900 = 2^{2} \times 5^{2} \times 809 \]80900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 175770 |
| Euler totient φ(n) | 32320 |
| Square | 6544810000 |
| Cube | 529475129000000 |
| Square root | 284.429253 (= 10√809) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.09 × |
80900 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand nine hundred |
| Binary (base 2) | 10011110000000100 |
| Octal (base 8) | 236004 |
| Hexadecimal (base 16) | 13C04 |
| Base 3 | 11002222022 |
| As time | 80900 seconds = 22 h 28 min 20 s |
Is 80900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80900 ÷ 2 = 40450) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80900 ÷ 4 = 20225) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80900 ÷ 5 = 16180) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (80900 ÷ 10 = 8090) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80900 a prime number?
No. 80900 = × × 809, so it is divisible by 2.
What are the factors of 80900?
1, 2, 4, 5, 10, 20, 25, 50, 100, 809, 1618, 3236, 4045, 8090, 16180, 20225, 40450, 80900.
What is 80900 in binary?
10011110000000100 (hexadecimal 13C04, octal 236004).
What is the square root of 80900?
About 284.4293, exactly 10√809.
Is 80900 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 80900?
It is a composite number with 18 divisors.